Of the two eggs which have identical sizes, shapes and weights, one is raw, and other is half boiled. The ratio between the moment of inertia of the raw to the half boiled egg about central axis is

Question

Of the two eggs which have identical sizes, shapes and weights, one is raw, and other is half boiled. The ratio between the moment of inertia of the raw to the half boiled egg about central axis is (A) one (B) greater than one (C) less than one (D) not comparable

Tardigrade Admin · Accepted Answer

A raw egg behaves like a spherical shell and a half boiled egg behaves like a solid sphere ∴ ( I r / I s )=(2 / 3 mr 2/2 / 5 mr 2)=(5/3)>1

Q. Of the two eggs which have identical sizes, shapes and weights, one is raw, and other is half boiled. The ratio between the moment of inertia of the raw to the half boiled egg about central axis is

one

greater than one

less than one

not comparable

A raw egg behaves like a spherical shell and a half boiled egg behaves like a solid sphere
$∴ \frac{I _{r}}{I _{s}} = \frac{2/3 m r ^{2}}{2/5 m r ^{2}} = \frac{5}{3} > 1$

Q. Of the two eggs which have identical sizes, shapes and weights, one is raw, and other is half boiled. The ratio between the moment of inertia of the raw to the half boiled egg about central axis is

one

greater than one

less than one

not comparable

A raw egg behaves like a spherical shell and a half boiled egg behaves like a solid sphere ∴Is​Ir​​=2/5mr22/3mr2​=35​>1

A raw egg behaves like a spherical shell and a half boiled egg behaves like a solid sphere
$∴ \frac{I _{r}}{I _{s}} = \frac{2/3 m r ^{2}}{2/5 m r ^{2}} = \frac{5}{3} > 1$